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103233303303020 = 225113713619318313
BaseRepresentation
bin10111011110001111100000…
…010111110101001101101100
3111112112000012101220120110122
4113132033200113311031230
5102012333301121144040
61003320420321424112
730513234330562262
oct2736174027651554
9445460171816418
10103233303303020
112a990aa8478580
12b6b338049b038
13457ab21827977
141b6c738c30432
15be05060b81b5
hex5de3e05f536c

103233303303020 has 96 divisors (see below), whose sum is σ = 243068444329536. Its totient is φ = 36497964441600.

The previous prime is 103233303302917. The next prime is 103233303303047. The reversal of 103233303303020 is 20303303332301.

It is a super-2 number, since 2×1032333033030202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6419384 + ... + 15737696.

It is an arithmetic number, because the mean of its divisors is an integer number (2531962961766).

Almost surely, 2103233303303020 is an apocalyptic number.

103233303303020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103233303303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121534222164768).

103233303303020 is an abundant number, since it is smaller than the sum of its proper divisors (139835141026516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103233303303020 is a wasteful number, since it uses less digits than its factorization.

103233303303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319731 (or 9319729 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 103233303303020 its reverse (20303303332301), we get a palindrome (123536606635321).

The spelling of 103233303303020 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred three million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1361 1628 2035 2722 4070 5444 6805 8140 13610 14971 27220 29942 50357 59884 74855 100714 149710 201428 251785 299420 503570 553927 1007140 1107854 2215708 2769635 5539270 9318313 11078540 18636626 37273252 46591565 93183130 102501443 186366260 205002886 344777581 410005772 512507215 689555162 1025014430 1379110324 1723887905 2050028860 3447775810 3792553391 6895551620 7585106782 12682223993 15170213564 18962766955 25364447986 37925533910 50728895972 63411119965 75851067820 126822239930 139504463923 253644479860 279008927846 469242287741 558017855692 697522319615 938484575482 1395044639230 1876969150964 2346211438705 2790089278460 4692422877410 5161665165151 9384845754820 10323330330302 20646660660604 25808325825755 51616651651510 103233303303020